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Finding the Fourth Proportional to 3,902.97, 5,386.10 and 2,134.59

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Solution

The fourth proportional to 3,902.97, 5,386.10 and 2,134.59 is: 2,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.97 : 5,386.10 = 2,134.59 : x
  2. Step 2: Convert to fraction form
    3,902.97/5,386.10 = 2,134.59/x
  3. Step 3: Cross multiply
    3,902.97x = 5,386.10 × 2,134.59
  4. Step 4: Simplify right side
    3,902.97x = 11,497,115.20
  5. Step 5: Solve for x
    x = 11,497,115.20/3,902.97
  6. Step 6: Final answer
    x = 2,945.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.